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83691361 = 1329733041
BaseRepresentation
bin1001111110100…
…00011101100001
312211110221222001
410333100131201
5132411110421
612145444001
72034236065
oct477203541
9184427861
1083691361
1143272616
1224040601
1314453620
14b187aa5
157532691
hex4fd0761

83691361 has 16 divisors (see below), whose sum is σ = 94545360. Its totient is φ = 73543680.

The previous prime is 83691353. The next prime is 83691367. The reversal of 83691361 is 16319638.

It can be written as a sum of positive squares in 8 ways, for example, as 2421136 + 81270225 = 1556^2 + 9015^2 .

It is a cyclic number.

It is not a de Polignac number, because 83691361 - 23 = 83691353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83691361.

It is not an unprimeable number, because it can be changed into a prime (83691367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26001 + ... + 29041.

It is an arithmetic number, because the mean of its divisors is an integer number (5909085).

Almost surely, 283691361 is an apocalyptic number.

It is an amenable number.

83691361 is a deficient number, since it is larger than the sum of its proper divisors (10853999).

83691361 is a wasteful number, since it uses less digits than its factorization.

83691361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156.

The product of its digits is 23328, while the sum is 37.

The square root of 83691361 is about 9148.2982570531. The cubic root of 83691361 is about 437.4148706202.

It can be divided in two parts, 8369 and 1361, that added together give a triangular number (9730 = T139).

The spelling of 83691361 in words is "eighty-three million, six hundred ninety-one thousand, three hundred sixty-one".

Divisors: 1 13 29 73 377 949 2117 3041 27521 39533 88189 221993 1146457 2885909 6437797 83691361