65101938 has 32 divisors (see below), whose sum is σ = 143519040. Its totient is φ = 19522560.

The previous prime is 65101931. The next prime is 65101969. The reversal of 65101938 is 83910156.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 65101899 and 65101908.

It is not an unprimeable number, because it can be changed into a prime (65101931) 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, 1318 + ... + 11486.

It is an arithmetic number, because the mean of its divisors is an integer number (4484970).

Almost surely, 2^65101938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65101938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71759520).

65101938 is an abundant number, since it is smaller than the sum of its proper divisors (78417102).

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

65101938 is a wasteful number, since it uses less digits than its factorization.

65101938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 65101938 is about 8068.5771979947. The cubic root of 65101938 is about 402.2826531247.

It can be divided in two parts, 6510 and 1938, that added together give a palindrome (8448).

The spelling of 65101938 in words is "sixty-five million, one hundred one thousand, nine hundred thirty-eight".