67553005 has 16 divisors (see below), whose sum is σ = 88950960. Its totient is φ = 48941568.

The previous prime is 67552997. The next prime is 67553011. The reversal of 67553005 is 50035576.

It can be written as a sum of positive squares in 8 ways, for example, as 3200521 + 64352484 = 1789^2 + 8022^2 .

It is not a de Polignac number, because 67553005 - 2³ = 67552997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360 + ... + 13249.

It is an arithmetic number, because the mean of its divisors is an integer number (5559435).

Almost surely, 2^67553005 is an apocalyptic number.

67553005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67553005 is a deficient number, since it is larger than the sum of its proper divisors (21397955).

67553005 is a wasteful number, since it uses less digits than its factorization.

67553005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680.

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 67553005 is about 8219.0635111307. The cubic root of 67553005 is about 407.2691906831.

The spelling of 67553005 in words is "sixty-seven million, five hundred fifty-three thousand, five".