59755 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 41472.

The previous prime is 59753. The next prime is 59771. The reversal of 59755 is 55795.

59755 = T₃₆ + T₃₇ + ... + T₇₃.

59755 is nontrivially palindromic in base 4.

It is a 9-Lehmer number, since φ(59755) divides (59755-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 59755 - 2¹ = 59753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597 + ... + 1633.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁵⁹⁷⁵⁵ is an apocalyptic number.

59755 is a deficient number, since it is larger than the sum of its proper divisors (22325).

59755 is a wasteful number, since it uses less digits than its factorization.

59755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its digits is 7875, while the sum is 31.

The square root of 59755 is about 244.4483585545. The cubic root of 59755 is about 39.0953180205.

The spelling of 59755 in words is "fifty-nine thousand, seven hundred fifty-five".