97901001 has 64 divisors (see below), whose sum is σ = 166348800. Its totient is φ = 56376000.

The previous prime is 97900997. The next prime is 97901009. The reversal of 97901001 is 10010979.

It is not a de Polignac number, because 97901001 - 2² = 97900997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97901009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648276 + ... + 648426.

It is an arithmetic number, because the mean of its divisors is an integer number (2599200).

Almost surely, 2^97901001 is an apocalyptic number.

It is an amenable number.

97901001 is a deficient number, since it is larger than the sum of its proper divisors (68447799).

97901001 is a wasteful number, since it uses less digits than its factorization.

97901001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 97901001 is about 9894.4934685915. The cubic root of 97901001 is about 460.8883290825. Note that the first 3 decimals are identical.

The spelling of 97901001 in words is "ninety-seven million, nine hundred one thousand, one".