67132653 has 32 divisors (see below), whose sum is σ = 107661312. Its totient is φ = 36379200.

The previous prime is 67132631. The next prime is 67132661. The reversal of 67132653 is 35623176.

It is not a de Polignac number, because 67132653 - 2¹⁸ = 66870509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67132673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62743 + ... + 63803.

It is an arithmetic number, because the mean of its divisors is an integer number (3364416).

Almost surely, 2^67132653 is an apocalyptic number.

It is an amenable number.

67132653 is a deficient number, since it is larger than the sum of its proper divisors (40528659).

67132653 is a wasteful number, since it uses less digits than its factorization.

67132653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its digits is 22680, while the sum is 33.

The square root of 67132653 is about 8193.4518366803. The cubic root of 67132653 is about 406.4226813665.

The spelling of 67132653 in words is "sixty-seven million, one hundred thirty-two thousand, six hundred fifty-three".