34892 has 24 divisors (see below), whose sum is σ = 72912. Its totient is φ = 14400.

The previous prime is 34883. The next prime is 34897. The reversal of 34892 is 29843.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 3 + 4³ + 8⁵ + 9 + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (34897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2³⁴⁸⁹² is an apocalyptic number.

It is an amenable number.

34892 is an abundant number, since it is smaller than the sum of its proper divisors (38020).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

34892 is a wasteful number, since it uses less digits than its factorization.

34892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 34892 is about 186.7940041864. The cubic root of 34892 is about 32.6769831824.

The spelling of 34892 in words is "thirty-four thousand, eight hundred ninety-two".