21677172 has 48 divisors (see below), whose sum is σ = 55780032. Its totient is φ = 6497280.

The previous prime is 21677171. The next prime is 21677177. The reversal of 21677172 is 27177612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21677171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11958 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (1162084).

Almost surely, 2^21677172 is an apocalyptic number.

21677172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21677172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27890016).

21677172 is an abundant number, since it is smaller than the sum of its proper divisors (34102860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21677172 is a wasteful number, since it uses less digits than its factorization.

21677172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 21677172 is about 4655.8749983220. The cubic root of 21677172 is about 278.8266031165.

It can be divided in two parts, 2167 and 7172, that added together give a palindrome (9339).

The spelling of 21677172 in words is "twenty-one million, six hundred seventy-seven thousand, one hundred seventy-two".