90495951 has 48 divisors (see below), whose sum is σ = 153052416. Its totient is φ = 46545408.

The previous prime is 90495949. The next prime is 90495953. The reversal of 90495951 is 15959409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90495949) and next prime (90495953).

It is not a de Polignac number, because 90495951 - 2¹ = 90495949 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90495953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152311 + ... + 152903.

It is an arithmetic number, because the mean of its divisors is an integer number (3188592).

Almost surely, 2^90495951 is an apocalyptic number.

90495951 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

90495951 is a deficient number, since it is larger than the sum of its proper divisors (62556465).

90495951 is a wasteful number, since it uses less digits than its factorization.

90495951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 90495951 is about 9512.9359821246. The cubic root of 90495951 is about 448.9621365452.

The spelling of 90495951 in words is "ninety million, four hundred ninety-five thousand, nine hundred fifty-one".