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172038997 = 1317832113
BaseRepresentation
bin10100100000100…
…01101101010101
3102222201111010201
422100101231111
5323020221442
625023220501
74156210264
oct1220215525
9388644121
10172038997
1189125499
1249747731
1329847430
1418bc45db
15101847b7
hexa411b55

172038997 has 24 divisors (see below), whose sum is σ = 200320344. Its totient is φ = 146356224.

The previous prime is 172038973. The next prime is 172039003. The reversal of 172038997 is 799830271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62001 + 171976996 = 249^2 + 13114^2 .

It is a de Polignac number, because none of the positive numbers 2k-172038997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172038907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522413 + ... + 1522525.

It is an arithmetic number, because the mean of its divisors is an integer number (8346681).

Almost surely, 2172038997 is an apocalyptic number.

172038997 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

172038997 is a deficient number, since it is larger than the sum of its proper divisors (28281347).

172038997 is a wasteful number, since it uses less digits than its factorization.

172038997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 172038997 is about 13116.3637110291. The cubic root of 172038997 is about 556.1718033073.

The spelling of 172038997 in words is "one hundred seventy-two million, thirty-eight thousand, nine hundred ninety-seven".

Divisors: 1 13 17 83 113 221 1079 1411 1469 1921 6889 9379 18343 24973 89557 117113 121927 159443 778457 1522469 2072759 10119941 13233769 172038997