34082961 has 16 divisors (see below), whose sum is σ = 50730240. Its totient is φ = 20175120.

The previous prime is 34082933. The next prime is 34082963. The reversal of 34082961 is 16928043.

It is not a de Polignac number, because 34082961 - 2¹⁴ = 34066577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34082963) 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, 10591 + ... + 13428.

It is an arithmetic number, because the mean of its divisors is an integer number (3170640).

Almost surely, 2^34082961 is an apocalyptic number.

It is an amenable number.

34082961 is a deficient number, since it is larger than the sum of its proper divisors (16647279).

34082961 is a wasteful number, since it uses less digits than its factorization.

34082961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34082961 is about 5838.0614076935. The cubic root of 34082961 is about 324.2244577113.

The spelling of 34082961 in words is "thirty-four million, eighty-two thousand, nine hundred sixty-one".