73966937 has 6 divisors (see below), whose sum is σ = 81302634. Its totient is φ = 67242560.

The previous prime is 73966901. The next prime is 73966957.

73966937 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 50965321 + 23001616 = 7139^2 + 4796^2 .

It is not a de Polignac number, because 73966937 - 2⁸ = 73966681 is a prime.

It is a super-2 number, since 2×73966937² = 10942215538323938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73966957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305528 + ... + 305769.

It is an arithmetic number, because the mean of its divisors is an integer number (13550439).

Almost surely, 2^73966937 is an apocalyptic number.

It is an amenable number.

73966937 is a deficient number, since it is larger than the sum of its proper divisors (7335697).

73966937 is a wasteful number, since it uses less digits than its factorization.

73966937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611319 (or 611308 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 50.

The square root of 73966937 is about 8600.4033044968. The cubic root of 73966937 is about 419.7711092202.

It can be divided in two parts, 739 and 66937, that added together give a palindrome (67676).

The spelling of 73966937 in words is "seventy-three million, nine hundred sixty-six thousand, nine hundred thirty-seven".