90651 has 16 divisors (see below), whose sum is σ = 137088. Its totient is φ = 52800.

The previous prime is 90647. The next prime is 90659. The reversal of 90651 is 15609.

It is not a de Polignac number, because 90651 - 2² = 90647 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90651.

It is not an unprimeable number, because it can be changed into a prime (90659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁹⁰⁶⁵¹ is an apocalyptic number.

90651 is the 246-th pentagonal number.

90651 is a deficient number, since it is larger than the sum of its proper divisors (46437).

90651 is a wasteful number, since it uses less digits than its factorization.

90651 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90651 is about 301.0830450225. The cubic root of 90651 is about 44.9218396307.

It can be divided in two parts, 90 and 651, that added together give a triangular number (741 = T₃₈).

The spelling of 90651 in words is "ninety thousand, six hundred fifty-one".