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93629 is a prime number
BaseRepresentation
bin10110110110111101
311202102202
4112312331
510444004
62001245
7536654
oct266675
9152382
1093629
1164388
1246225
1333803
142619b
151cb1e
hex16dbd

93629 has 2 divisors, whose sum is σ = 93630. Its totient is φ = 93628.

The previous prime is 93607. The next prime is 93637. The reversal of 93629 is 92639.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 16900 = 277^2 + 130^2 .

It is an emirp because it is prime and its reverse (92639) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93629 - 212 = 89533 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93629.

It is not a weakly prime, because it can be changed into another prime (93229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46814 + 46815.

It is an arithmetic number, because the mean of its divisors is an integer number (46815).

293629 is an apocalyptic number.

It is an amenable number.

93629 is a deficient number, since it is larger than the sum of its proper divisors (1).

93629 is an equidigital number, since it uses as much as digits as its factorization.

93629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 29.

The square root of 93629 is about 305.9885618777. The cubic root of 93629 is about 45.4084622650.

Subtracting from 93629 its reverse (92639), we obtain a triangular number (990 = T44).

The spelling of 93629 in words is "ninety-three thousand, six hundred twenty-nine".