90457 has 6 divisors (see below), whose sum is σ = 96398. Its totient is φ = 84864.

The previous prime is 90439. The next prime is 90469. The reversal of 90457 is 75409.

It can be written as a sum of positive squares in 3 ways, for example, as 9801 + 80656 = 99^2 + 284^2 .

It is not a de Polignac number, because 90457 - 2¹⁵ = 57689 is a prime.

It is a Duffinian number.

90457 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 445.

2⁹⁰⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

90457 is a deficient number, since it is larger than the sum of its proper divisors (5941).

90457 is a wasteful number, since it uses less digits than its factorization.

90457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 90457 is about 300.7607022202. The cubic root of 90457 is about 44.8897713649.

It can be divided in two parts, 904 and 57, that added together give a square (961 = 31²).

The spelling of 90457 in words is "ninety thousand, four hundred fifty-seven".