67542921 has 24 divisors (see below), whose sum is σ = 105008904. Its totient is φ = 41679360.

The previous prime is 67542911. The next prime is 67542947. The reversal of 67542921 is 12924576.

It can be written as a sum of positive squares in 4 ways, for example, as 6702921 + 60840000 = 2589^2 + 7800^2 .

It is not a de Polignac number, because 67542921 - 2⁶ = 67542857 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67542911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5715 + ... + 12951.

It is an arithmetic number, because the mean of its divisors is an integer number (4375371).

Almost surely, 2^67542921 is an apocalyptic number.

67542921 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67542921 is a deficient number, since it is larger than the sum of its proper divisors (37465983).

67542921 is a wasteful number, since it uses less digits than its factorization.

67542921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7318 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 67542921 is about 8218.4500363511. The cubic root of 67542921 is about 407.2489245879.

The spelling of 67542921 in words is "sixty-seven million, five hundred forty-two thousand, nine hundred twenty-one".