61964133 has 64 divisors (see below), whose sum is σ = 112803840. Its totient is φ = 29260800.

The previous prime is 61964129. The next prime is 61964143. The reversal of 61964133 is 33146916.

It is not a de Polignac number, because 61964133 - 2² = 61964129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61964094 and 61964103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61964113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121483 + ... + 121991.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 2^61964133 is an apocalyptic number.

It is an amenable number.

61964133 is a deficient number, since it is larger than the sum of its proper divisors (50839707).

61964133 is a wasteful number, since it uses less digits than its factorization.

61964133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 11664, while the sum is 33.

The square root of 61964133 is about 7871.7299877473. The cubic root of 61964133 is about 395.7128249028.

The spelling of 61964133 in words is "sixty-one million, nine hundred sixty-four thousand, one hundred thirty-three".