90113 has 4 divisors (see below), whose sum is σ = 91140. Its totient is φ = 89088.

The previous prime is 90107. The next prime is 90121. The reversal of 90113 is 31109.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31109 = 13 ⋅2393.

It can be written as a sum of positive squares in 2 ways, for example, as 16129 + 73984 = 127^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 90113 - 2¹² = 86017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

It is a Proth number, since it is equal to 11 ⋅ 2¹³ + 1 and 11 < 2¹³.

2⁹⁰¹¹³ is an apocalyptic number.

It is an amenable number.

90113 is a deficient number, since it is larger than the sum of its proper divisors (1027).

90113 is an equidigital number, since it uses as much as digits as its factorization.

90113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 90113 is about 300.1882742547. The cubic root of 90113 is about 44.8327951303.

The spelling of 90113 in words is "ninety thousand, one hundred thirteen".