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157933 is a prime number
BaseRepresentation
bin100110100011101101
322000122101
4212203231
520023213
63215101
71225306
oct464355
9260571
10157933
11a8726
1277491
1356b69
1531bdd
hex268ed

157933 has 2 divisors, whose sum is σ = 157934. Its totient is φ = 157932.

The previous prime is 157931. The next prime is 157951. The reversal of 157933 is 339751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157609 + 324 = 397^2 + 18^2 .

It is an emirp because it is prime and its reverse (339751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157933 - 21 = 157931 is a prime.

Together with 157931, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78966 + 78967.

It is an arithmetic number, because the mean of its divisors is an integer number (78967).

2157933 is an apocalyptic number.

It is an amenable number.

157933 is a deficient number, since it is larger than the sum of its proper divisors (1).

157933 is an equidigital number, since it uses as much as digits as its factorization.

157933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 28.

The square root of 157933 is about 397.4078509542. The cubic root of 157933 is about 54.0535591148.

The spelling of 157933 in words is "one hundred fifty-seven thousand, nine hundred thirty-three".