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22977 = 332337
BaseRepresentation
bin101100111000001
31011112000
411213001
51213402
6254213
7123663
oct54701
934460
1022977
1116299
1211369
13a5c6
148533
156c1c
hex59c1

22977 has 16 divisors (see below), whose sum is σ = 36480. Its totient is φ = 14256.

The previous prime is 22973. The next prime is 22993. The reversal of 22977 is 77922.

It is not a de Polignac number, because 22977 - 22 = 22973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1764) is a multiple of the sum of its prime divisors (63).

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 22977.

It is not an unprimeable number, because it can be changed into a prime (22973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

222977 is an apocalyptic number.

22977 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22977 is a deficient number, since it is larger than the sum of its proper divisors (13503).

22977 is a wasteful number, since it uses less digits than its factorization.

22977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 22977 is about 151.5816611599. The cubic root of 22977 is about 28.4291870803.

Subtracting 22977 from its reverse (77922), we obtain a palindrome (54945).

It can be divided in two parts, 2297 and 7, that added together give a square (2304 = 482).

The spelling of 22977 in words is "twenty-two thousand, nine hundred seventy-seven".

Divisors: 1 3 9 23 27 37 69 111 207 333 621 851 999 2553 7659 22977