Search a number
23037 = 371097
BaseRepresentation
bin101100111111101
31011121020
411213331
51214122
6254353
7124110
oct54775
934536
1023037
1116343
12113b9
13a641
148577
156c5c
hex59fd

23037 has 8 divisors (see below), whose sum is σ = 35136. Its totient is φ = 13152.

The previous prime is 23029. The next prime is 23039. The reversal of 23037 is 73032.

Adding to 23037 its reverse (73032), we get a palindrome (96069).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 23037 - 23 = 23029 is a prime.

23037 is a modest number, since divided by 37 gives 23 as remainder.

23037 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23037.

It is not an unprimeable number, because it can be changed into a prime (23039) 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 7 ways as a sum of consecutive naturals, for example, 528 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (4392).

223037 is an apocalyptic number.

It is an amenable number.

23037 is a deficient number, since it is larger than the sum of its proper divisors (12099).

23037 is a wasteful number, since it uses less digits than its factorization.

23037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 23037 is about 151.7794452487. The cubic root of 23037 is about 28.4539113499.

The spelling of 23037 in words is "twenty-three thousand, thirty-seven".

Divisors: 1 3 7 21 1097 3291 7679 23037