90345 has 16 divisors (see below), whose sum is σ = 152640. Its totient is φ = 45504.

The previous prime is 90313. The next prime is 90353. The reversal of 90345 is 54309.

It is not a de Polignac number, because 90345 - 2⁵ = 90313 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (9540).

2⁹⁰³⁴⁵ is an apocalyptic number.

90345 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90345 is a deficient number, since it is larger than the sum of its proper divisors (62295).

90345 is a wasteful number, since it uses less digits than its factorization.

90345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 90345 is about 300.5744500120. The cubic root of 90345 is about 44.8712368464.

It can be divided in two parts, 90 and 345, that added together give a triangular number (435 = T₂₉).

The spelling of 90345 in words is "ninety thousand, three hundred forty-five".