61164 has 18 divisors (see below), whose sum is σ = 154700. Its totient is φ = 20376.

The previous prime is 61153. The next prime is 61169. The reversal of 61164 is 46116.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61169) 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 5 ways as a sum of consecutive naturals, for example, 814 + ... + 885.

2⁶¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

61164 is an abundant number, since it is smaller than the sum of its proper divisors (93536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61164 is a wasteful number, since it uses less digits than its factorization.

61164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 61164 is about 247.3135661463. The cubic root of 61164 is about 39.4002181612.

It can be divided in two parts, 61 and 164, that added together give a square (225 = 15²).

The spelling of 61164 in words is "sixty-one thousand, one hundred sixty-four".