1953138 has 32 divisors (see below), whose sum is σ = 4318272. Its totient is φ = 584000.

The previous prime is 1953109. The next prime is 1953151. The reversal of 1953138 is 8313591.

It is a happy number.

It is an unprimeable number.

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, 6520 + ... + 6812.

It is an arithmetic number, because the mean of its divisors is an integer number (134946).

2^1953138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136).

1953138 is an abundant number, since it is smaller than the sum of its proper divisors (2365134).

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

1953138 is a wasteful number, since it uses less digits than its factorization.

1953138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its digits is 3240, while the sum is 30.

The square root of 1953138 is about 1397.5471369510. The cubic root of 1953138 is about 125.0002773327. Note that the first 3 decimals are identical.

It can be divided in two parts, 195 and 3138, that added together give a palindrome (3333).

The spelling of 1953138 in words is "one million, nine hundred fifty-three thousand, one hundred thirty-eight".