61971 has 16 divisors (see below), whose sum is σ = 102144. Its totient is φ = 32544.

The previous prime is 61967. The next prime is 61979. The reversal of 61971 is 17916.

61971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61971 - 2² = 61967 is a prime.

61971 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61979) 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, 160 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁶¹⁹⁷¹ is an apocalyptic number.

61971 is a deficient number, since it is larger than the sum of its proper divisors (40173).

61971 is a wasteful number, since it uses less digits than its factorization.

61971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250.

The product of its digits is 378, while the sum is 24.

The square root of 61971 is about 248.9397517473. The cubic root of 61971 is about 39.5727442282.

The spelling of 61971 in words is "sixty-one thousand, nine hundred seventy-one".