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97137001 = 1323332069
BaseRepresentation
bin1011100101000…
…11000101101001
320202210001220201
411302203011221
5144331341001
613345552201
72256436153
oct562430551
9222701821
1097137001
114a916515
1228645661
1317180620
14cc87ad3
1587db501
hex5ca3169

97137001 has 8 divisors (see below), whose sum is σ = 105061320. Its totient is φ = 89277312.

The previous prime is 97136993. The next prime is 97137011. The reversal of 97137001 is 10073179.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4515625 + 92621376 = 2125^2 + 9624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97137001 - 23 = 97136993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97137011) 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 in 7 ways as a sum of consecutive naturals, for example, 13006 + ... + 19063.

It is an arithmetic number, because the mean of its divisors is an integer number (13132665).

Almost surely, 297137001 is an apocalyptic number.

It is an amenable number.

97137001 is a deficient number, since it is larger than the sum of its proper divisors (7924319).

97137001 is a wasteful number, since it uses less digits than its factorization.

97137001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32315.

The product of its (nonzero) digits is 1323, while the sum is 28.

The square root of 97137001 is about 9855.8105196884. The cubic root of 97137001 is about 459.6863031364.

The spelling of 97137001 in words is "ninety-seven million, one hundred thirty-seven thousand, one".

Divisors: 1 13 233 3029 32069 416897 7472077 97137001