1965138 has 32 divisors (see below), whose sum is σ = 4561920. Its totient is φ = 552720.

The previous prime is 1965133. The next prime is 1965167. The reversal of 1965138 is 8315691.

It is an Ulam number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1965099 and 1965108.

It is not an unprimeable number, because it can be changed into a prime (1965133) 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 15 ways as a sum of consecutive naturals, for example, 2653 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

2^1965138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280960).

1965138 is an abundant number, since it is smaller than the sum of its proper divisors (2596782).

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

1965138 is a wasteful number, since it uses less digits than its factorization.

1965138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

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

The square root of 1965138 is about 1401.8337989933. The cubic root of 1965138 is about 125.2557536968.

The spelling of 1965138 in words is "one million, nine hundred sixty-five thousand, one hundred thirty-eight".