61832961 has 24 divisors (see below), whose sum is σ = 96884424. Its totient is φ = 37847040.

The previous prime is 61832933. The next prime is 61832963. The reversal of 61832961 is 16923816.

61832961 is a `hidden beast` number, since 618 + 32 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 59582961 = 1500^2 + 7719^2 .

It is not a de Polignac number, because 61832961 - 2²² = 57638657 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61832963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345 + ... + 11201.

It is an arithmetic number, because the mean of its divisors is an integer number (4036851).

Almost surely, 2^61832961 is an apocalyptic number.

It is an amenable number.

61832961 is a deficient number, since it is larger than the sum of its proper divisors (35051463).

61832961 is a wasteful number, since it uses less digits than its factorization.

61832961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9918 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61832961 is about 7863.3937329883. The cubic root of 61832961 is about 395.4333992080.

The spelling of 61832961 in words is "sixty-one million, eight hundred thirty-two thousand, nine hundred sixty-one".