29140965 has 80 divisors (see below), whose sum is σ = 62958720. Its totient is φ = 12597120.

The previous prime is 29140957. The next prime is 29141017. The reversal of 29140965 is 56904192.

It is not a de Polignac number, because 29140965 - 2³ = 29140957 is a prime.

It is a super-2 number, since 2×29140965² = 1698391682262450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53595 + ... + 54135.

It is an arithmetic number, because the mean of its divisors is an integer number (786984).

Almost surely, 2^29140965 is an apocalyptic number.

It is an amenable number.

29140965 is an abundant number, since it is smaller than the sum of its proper divisors (33817755).

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

29140965 is a wasteful number, since it uses less digits than its factorization.

29140965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29140965 is about 5398.2372122759. The cubic root of 29140965 is about 307.7286817655.

The spelling of 29140965 in words is "twenty-nine million, one hundred forty thousand, nine hundred sixty-five".