90129065 has 48 divisors (see below), whose sum is σ = 129040128. Its totient is φ = 59951232.

The previous prime is 90129047. The next prime is 90129079. The reversal of 90129065 is 56092109.

It is not a de Polignac number, because 90129065 - 2⁶ = 90129001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539612 + ... + 539778.

It is an arithmetic number, because the mean of its divisors is an integer number (2688336).

Almost surely, 2^90129065 is an apocalyptic number.

90129065 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90129065 is a deficient number, since it is larger than the sum of its proper divisors (38911063).

90129065 is a wasteful number, since it uses less digits than its factorization.

90129065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 90129065 is about 9493.6328662952. The cubic root of 90129065 is about 448.3545917821.

The spelling of 90129065 in words is "ninety million, one hundred twenty-nine thousand, sixty-five".