55790 has 16 divisors (see below), whose sum is σ = 114912. Its totient is φ = 19104.

The previous prime is 55787. The next prime is 55793. The reversal of 55790 is 9755.

55790 = 43² + 44² + ... + 62².

It is an interprime number because it is at equal distance from previous prime (55787) and next prime (55793).

It is a super-2 number, since 2×55790² = 6225048200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁵⁵⁷⁹⁰ is an apocalyptic number.

55790 is an abundant number, since it is smaller than the sum of its proper divisors (59122).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

55790 is a wasteful number, since it uses less digits than its factorization.

55790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 55790 is about 236.1990685841. The cubic root of 55790 is about 38.2107404719.

The spelling of 55790 in words is "fifty-five thousand, seven hundred ninety".