67921965 has 12 divisors (see below), whose sum is σ = 117731484. Its totient is φ = 36225024.

The previous prime is 67921963. The next prime is 67921999. The reversal of 67921965 is 56912976.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40106889 + 27815076 = 6333^2 + 5274^2 .

It is not a de Polignac number, because 67921965 - 2¹ = 67921963 is a prime.

It is a super-2 number, since 2×67921965² = 9226786658922450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1509377 = 67921965 / (6 + 7 + 9 + 2 + 1 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 67921965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67921963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754644 + ... + 754733.

It is an arithmetic number, because the mean of its divisors is an integer number (9810957).

Almost surely, 2^67921965 is an apocalyptic number.

It is an amenable number.

67921965 is a deficient number, since it is larger than the sum of its proper divisors (49809519).

67921965 is a wasteful number, since it uses less digits than its factorization.

67921965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509388 (or 1509385 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 67921965 is about 8241.4783261257. The cubic root of 67921965 is about 408.0093171171.

It can be divided in two parts, 67921 and 965, that added together give a palindrome (68886).

The spelling of 67921965 in words is "sixty-seven million, nine hundred twenty-one thousand, nine hundred sixty-five".