61523 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 44160.

The previous prime is 61519. The next prime is 61543. The reversal of 61523 is 32516.

61523 = 42² + 43² + ... + 63².

61523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 61523 - 2² = 61519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61543) 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, 1286 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁶¹⁵²³ is an apocalyptic number.

61523 is a deficient number, since it is larger than the sum of its proper divisors (21421).

61523 is a wasteful number, since it uses less digits than its factorization.

61523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its digits is 180, while the sum is 17.

The square root of 61523 is about 248.0383034936. The cubic root of 61523 is about 39.4771539094.

The spelling of 61523 in words is "sixty-one thousand, five hundred twenty-three".