90345541 has 24 divisors (see below), whose sum is σ = 111416256. Its totient is φ = 72483840.

The previous prime is 90345511. The next prime is 90345553. The reversal of 90345541 is 14554309.

90345541 = 144² + 145² + ... + 649².

It is not a de Polignac number, because 90345541 - 2⁹ = 90345029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90345511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41701 + ... + 43813.

It is an arithmetic number, because the mean of its divisors is an integer number (4642344).

Almost surely, 2^90345541 is an apocalyptic number.

It is an amenable number.

90345541 is a deficient number, since it is larger than the sum of its proper divisors (21070715).

90345541 is a wasteful number, since it uses less digits than its factorization.

90345541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 90345541 is about 9505.0271435699. The cubic root of 90345541 is about 448.7132641152.

The spelling of 90345541 in words is "ninety million, three hundred forty-five thousand, five hundred forty-one".