83626101 has 60 divisors (see below), whose sum is σ = 139500900. Its totient is φ = 49870080.

The previous prime is 83626097. The next prime is 83626129. The reversal of 83626101 is 10162638.

It can be written as a sum of positive squares in 6 ways, for example, as 50552100 + 33074001 = 7110^2 + 5751^2 .

It is not a de Polignac number, because 83626101 - 2² = 83626097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83626141) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 561175 + ... + 561323.

It is an arithmetic number, because the mean of its divisors is an integer number (2325015).

Almost surely, 2^83626101 is an apocalyptic number.

83626101 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

83626101 is a deficient number, since it is larger than the sum of its proper divisors (55874799).

83626101 is a wasteful number, since it uses less digits than its factorization.

83626101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83626101 is about 9144.7307778852. The cubic root of 83626101 is about 437.3011467462.

Adding to 83626101 its reverse (10162638), we get a palindrome (93788739).

The spelling of 83626101 in words is "eighty-three million, six hundred twenty-six thousand, one hundred one".