83137001 has 2 divisors, whose sum is σ = 83137002. Its totient is φ = 83137000.

The previous prime is 83136979. The next prime is 83137003. The reversal of 83137001 is 10073138.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64818601 + 18318400 = 8051^2 + 4280^2 .

It is a cyclic number.

It is not a de Polignac number, because 83137001 - 2¹⁴ = 83120617 is a prime.

Together with 83137003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83137003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41568500 + 41568501.

It is an arithmetic number, because the mean of its divisors is an integer number (41568501).

Almost surely, 2^83137001 is an apocalyptic number.

It is an amenable number.

83137001 is a deficient number, since it is larger than the sum of its proper divisors (1).

83137001 is an equidigital number, since it uses as much as digits as its factorization.

83137001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 83137001 is about 9117.9493856897. The cubic root of 83137001 is about 436.4469384461.

The spelling of 83137001 in words is "eighty-three million, one hundred thirty-seven thousand, one".