137083201 has 2 divisors, whose sum is σ = 137083202. Its totient is φ = 137083200.

The previous prime is 137083171. The next prime is 137083231. The reversal of 137083201 is 102380731.

It is a balanced prime because it is at equal distance from previous prime (137083171) and next prime (137083231).

It can be written as a sum of positive squares in only one way, i.e., 137007025 + 76176 = 11705^2 + 276^2 .

It is a cyclic number.

It is not a de Polignac number, because 137083201 - 2¹⁷ = 136952129 is a prime.

It is not a weakly prime, because it can be changed into another prime (137083231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68541600 + 68541601.

It is an arithmetic number, because the mean of its divisors is an integer number (68541601).

Almost surely, 2^137083201 is an apocalyptic number.

It is an amenable number.

137083201 is a deficient number, since it is larger than the sum of its proper divisors (1).

137083201 is an equidigital number, since it uses as much as digits as its factorization.

137083201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 137083201 is about 11708.2535418396. The cubic root of 137083201 is about 515.6180107091.

The spelling of 137083201 in words is "one hundred thirty-seven million, eighty-three thousand, two hundred one".