67953 has 4 divisors (see below), whose sum is σ = 90608. Its totient is φ = 45300.

The previous prime is 67943. The next prime is 67957. The reversal of 67953 is 35976.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 67953 - 2¹² = 63857 is a prime.

It is a super-2 number, since 2×67953² = 9235220418, which contains 22 as substring.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67953.

It is not an unprimeable number, because it can be changed into a prime (67957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11323 + ... + 11328.

It is an arithmetic number, because the mean of its divisors is an integer number (22652).

2⁶⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

67953 is a deficient number, since it is larger than the sum of its proper divisors (22655).

67953 is a wasteful number, since it uses less digits than its factorization.

67953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654.

The product of its digits is 5670, while the sum is 30.

The square root of 67953 is about 260.6779622446. The cubic root of 67953 is about 40.8071450386.

The spelling of 67953 in words is "sixty-seven thousand, nine hundred fifty-three".