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13977037 is a prime number
BaseRepresentation
bin110101010100…
…010111001101
3222022002220001
4311110113031
512034231122
61215324301
7226542244
oct65242715
928262801
1013977037
117987178
124820691
132b84b49
141bdb95b
151361527
hexd545cd

13977037 has 2 divisors, whose sum is σ = 13977038. Its totient is φ = 13977036.

The previous prime is 13977017. The next prime is 13977053. The reversal of 13977037 is 73077931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12823561 + 1153476 = 3581^2 + 1074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13977037 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13976987 and 13977005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13977017) 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 as a sum of consecutive naturals, namely, 6988518 + 6988519.

It is an arithmetic number, because the mean of its divisors is an integer number (6988519).

Almost surely, 213977037 is an apocalyptic number.

It is an amenable number.

13977037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13977037 is an equidigital number, since it uses as much as digits as its factorization.

13977037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27783, while the sum is 37.

The square root of 13977037 is about 3738.5875675180. The cubic root of 13977037 is about 240.8823826481.

The spelling of 13977037 in words is "thirteen million, nine hundred seventy-seven thousand, thirty-seven".