34881 has 16 divisors (see below), whose sum is σ = 58368. Its totient is φ = 18000.

The previous prime is 34877. The next prime is 34883. The reversal of 34881 is 18843.

It is not a de Polignac number, because 34881 - 2² = 34877 is a prime.

It is a super-2 number, since 2×34881² = 2433368322, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 16.

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 34881.

It is not an unprimeable number, because it can be changed into a prime (34883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (3648).

2³⁴⁸⁸¹ is an apocalyptic number.

It is an amenable number.

34881 is a deficient number, since it is larger than the sum of its proper divisors (23487).

34881 is a wasteful number, since it uses less digits than its factorization.

34881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 768, while the sum is 24.

The square root of 34881 is about 186.7645576655. The cubic root of 34881 is about 32.6735489225.

It can be divided in two parts, 3 and 4881, that added together give a palindrome (4884).

The spelling of 34881 in words is "thirty-four thousand, eight hundred eighty-one".