61959 has 8 divisors (see below), whose sum is σ = 87040. Its totient is φ = 39096.

The previous prime is 61949. The next prime is 61961. The reversal of 61959 is 95916.

61959 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

61959 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61959 - 2⁵ = 61927 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (10880).

2⁶¹⁹⁵⁹ is an apocalyptic number.

61959 is a deficient number, since it is larger than the sum of its proper divisors (25081).

61959 is a wasteful number, since it uses less digits than its factorization.

61959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109.

The product of its digits is 2430, while the sum is 30.

The square root of 61959 is about 248.9156483631. The cubic root of 61959 is about 39.5701897882.

It can be divided in two parts, 6195 and 9, that multiplied together give a palindrome (55755).

The spelling of 61959 in words is "sixty-one thousand, nine hundred fifty-nine".