1965150 has 72 divisors (see below), whose sum is σ = 5774184. Its totient is φ = 475200.

The previous prime is 1965133. The next prime is 1965167. The reversal of 1965150 is 515691.

1965150 is a `hidden beast` number, since 1 + 9 + 651 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1965133) and next prime (1965167).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4752 + ... + 5148.

It is an arithmetic number, because the mean of its divisors is an integer number (80197).

2^1965150 is an apocalyptic number.

1965150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887092).

1965150 is an abundant number, since it is smaller than the sum of its proper divisors (3809034).

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

1965150 is a wasteful number, since it uses less digits than its factorization.

1965150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1965150 is about 1401.8380790947. The cubic root of 1965150 is about 125.2560086519.

It can be divided in two parts, 19651 and 50, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1965150 in words is "one million, nine hundred sixty-five thousand, one hundred fifty".