91298025 has 135 divisors (see below), whose sum is σ = 206570949. Its totient is φ = 38525760.

The previous prime is 91297991. The next prime is 91298027. The reversal of 91298025 is 52089219.

The square root of 91298025 is 9555.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23532201 + 67765824 = 4851^2 + 8232^2 .

It is not a de Polignac number, because 91298025 - 2⁷ = 91297897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91298027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7022919 + ... + 7022931.

Almost surely, 2^91298025 is an apocalyptic number.

91298025 is the 9555-th square number.

91298025 is the 4778-th centered octagonal number.

It is an amenable number.

91298025 is an abundant number, since it is smaller than the sum of its proper divisors (115272924).

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

91298025 is a wasteful number, since it uses less digits than its factorization.

91298025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 91298025 is about 450.2846347392.

Multiplying 91298025 by its sum of digits (36), we get a square (3286728900 = 57330²).

It can be divided in two parts, 91 and 298025, that added together give a square (298116 = 546²).

The spelling of 91298025 in words is "ninety-one million, two hundred ninety-eight thousand, twenty-five".