1025164 has 48 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 397440.

The previous prime is 1025161. The next prime is 1025197. The reversal of 1025164 is 4615201.

1025164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1025164² = 2101922453792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1025161) 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, 21789 + ... + 21835.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2^1025164 is an apocalyptic number.

1025164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

1025164 is an abundant number, since it is smaller than the sum of its proper divisors (1232756).

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

1025164 is a wasteful number, since it uses less digits than its factorization.

1025164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1025164 is about 1012.5038271533. The cubic root of 1025164 is about 100.8318608866.

1025164 divided by its sum of digits (19) gives a triangular number (53956 = T₃₂₈).

It can be divided in two parts, 1025 and 164, that multiplied together give a square (168100 = 410²).

The spelling of 1025164 in words is "one million, twenty-five thousand, one hundred sixty-four".