83677132901 has 8 divisors (see below), whose sum is σ = 83798654040. Its totient is φ = 83555684352.

The previous prime is 83677132873. The next prime is 83677132907. The reversal of 83677132901 is 10923177638.

It is a Cunningham number, because it is equal to 289270²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 83677132900 = 1^2 + 289270^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83677132901 - 2¹⁸ = 83676870757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677132907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546291 + ... + 2578943.

It is an arithmetic number, because the mean of its divisors is an integer number (10474831755).

Almost surely, 2^83677132901 is an apocalyptic number.

It is an amenable number.

83677132901 is a deficient number, since it is larger than the sum of its proper divisors (121521139).

83677132901 is a wasteful number, since it uses less digits than its factorization.

83677132901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36295.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 83677132901 in words is "eighty-three billion, six hundred seventy-seven million, one hundred thirty-two thousand, nine hundred one".