62961 has 8 divisors (see below), whose sum is σ = 86784. Its totient is φ = 40560.

The previous prime is 62939. The next prime is 62969. The reversal of 62961 is 16926.

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

It is not a de Polignac number, because 62961 - 2⁵ = 62929 is a prime.

62961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (62969) 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 7 ways as a sum of consecutive naturals, for example, 246 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (10848).

2⁶²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

62961 is a deficient number, since it is larger than the sum of its proper divisors (23823).

62961 is a wasteful number, since it uses less digits than its factorization.

62961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its digits is 648, while the sum is 24.

The square root of 62961 is about 250.9203060735. The cubic root of 62961 is about 39.7823596311.

It can be divided in two parts, 6 and 2961, that multiplied together give a triangular number (17766 = T₁₈₈).

The spelling of 62961 in words is "sixty-two thousand, nine hundred sixty-one".