34902 has 24 divisors (see below), whose sum is σ = 86736. Its totient is φ = 9936.

The previous prime is 34897. The next prime is 34913. The reversal of 34902 is 20943.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

34902 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (3614).

2³⁴⁹⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43368).

34902 is an abundant number, since it is smaller than the sum of its proper divisors (51834).

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

34902 is a wasteful number, since it uses less digits than its factorization.

34902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34902 is about 186.8207697233. The cubic root of 34902 is about 32.6801046106.

It can be divided in two parts, 3 and 4902, that multiplied together give a triangular number (14706 = T₁₇₁).

The spelling of 34902 in words is "thirty-four thousand, nine hundred two".