34002 has 12 divisors (see below), whose sum is σ = 73710. Its totient is φ = 11328.

The previous prime is 33997. The next prime is 34019. The reversal of 34002 is 20043.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 4761 = 171^2 + 69^2 .

It is a super-2 number, since 2×34002² = 2312272008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 927 + ... + 962.

2³⁴⁰⁰² is an apocalyptic number.

34002 is an abundant number, since it is smaller than the sum of its proper divisors (39708).

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

34002 is a wasteful number, since it uses less digits than its factorization.

34002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34002 is about 184.3963123276. The cubic root of 34002 is about 32.3967532183.

Adding to 34002 its reverse (20043), we get a palindrome (54045).

It can be divided in two parts, 3 and 4002, that added together give a triangular number (4005 = T₈₉).

The spelling of 34002 in words is "thirty-four thousand, two", and thus it is an eban number.