Search a number
-
+
97376 = 2517179
BaseRepresentation
bin10111110001100000
311221120112
4113301200
511104001
62030452
7553616
oct276140
9157515
1097376
1167184
1248428
1335426
14276b6
151dcbb
hex17c60

97376 has 24 divisors (see below), whose sum is σ = 204120. Its totient is φ = 45568.

The previous prime is 97373. The next prime is 97379. The reversal of 97376 is 67379.

It is an interprime number because it is at equal distance from previous prime (97373) and next prime (97379).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

297376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

97376 is an abundant number, since it is smaller than the sum of its proper divisors (106744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97376 is a wasteful number, since it uses less digits than its factorization.

97376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 7938, while the sum is 32.

The square root of 97376 is about 312.0512778375. The cubic root of 97376 is about 46.0063003343.

Subtracting from 97376 its sum of digits (32), we obtain a square (97344 = 3122).

The spelling of 97376 in words is "ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 179 272 358 544 716 1432 2864 3043 5728 6086 12172 24344 48688 97376