91313001 has 40 divisors (see below), whose sum is σ = 155570184. Its totient is φ = 52876800.

The previous prime is 91312997. The next prime is 91313009. The reversal of 91313001 is 10031319.

It can be written as a sum of positive squares in 4 ways, for example, as 129600 + 91183401 = 360^2 + 9549^2 .

It is not a de Polignac number, because 91313001 - 2² = 91312997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91313009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15351 + ... + 20451.

Almost surely, 2^91313001 is an apocalyptic number.

It is an amenable number.

91313001 is a deficient number, since it is larger than the sum of its proper divisors (64257183).

91313001 is a wasteful number, since it uses less digits than its factorization.

91313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 91313001 is about 9555.7836413347. The cubic root of 91313001 is about 450.3092540889.

It can be divided in two parts, 9 and 1313001, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 91313001 in words is "ninety-one million, three hundred thirteen thousand, one".