90414961 has 16 divisors (see below), whose sum is σ = 112438144. Its totient is φ = 70792704.

The previous prime is 90414937. The next prime is 90414991. The reversal of 90414961 is 16941409.

It is a cyclic number.

It is not a de Polignac number, because 90414961 - 2¹⁹ = 89890673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90414991) 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, 3706 + ... + 13948.

It is an arithmetic number, because the mean of its divisors is an integer number (7027384).

Almost surely, 2^90414961 is an apocalyptic number.

90414961 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90414961 is a deficient number, since it is larger than the sum of its proper divisors (22023183).

90414961 is a wasteful number, since it uses less digits than its factorization.

90414961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 90414961 is about 9508.6781941551. The cubic root of 90414961 is about 448.8281626095.

The spelling of 90414961 in words is "ninety million, four hundred fourteen thousand, nine hundred sixty-one".