61933821 has 32 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 38277120.

The previous prime is 61933811. The next prime is 61933841. The reversal of 61933821 is 12833916.

61933821 = 1209² + 1210² + ... + 1249².

It is not a de Polignac number, because 61933821 - 2¹⁴ = 61917437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61933811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345910 + ... + 346088.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^61933821 is an apocalyptic number.

It is an amenable number.

61933821 is a deficient number, since it is larger than the sum of its proper divisors (26971779).

61933821 is a wasteful number, since it uses less digits than its factorization.

61933821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349.

The product of its digits is 7776, while the sum is 33.

The square root of 61933821 is about 7869.8043813045. The cubic root of 61933821 is about 395.6482886246.

The spelling of 61933821 in words is "sixty-one million, nine hundred thirty-three thousand, eight hundred twenty-one".