85962132 has 144 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 24837120.

The previous prime is 85962103. The next prime is 85962161. The reversal of 85962132 is 23126958.

85962132 = T₃₆₈ + T₃₆₉ + ... + T₈₂₆.

It is an interprime number because it is at equal distance from previous prime (85962103) and next prime (85962161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436258 + ... + 436454.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 2^85962132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85962132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

85962132 is an abundant number, since it is smaller than the sum of its proper divisors (163118700).

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

85962132 is a wasteful number, since it uses less digits than its factorization.

85962132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 85962132 is about 9271.5765649646. The cubic root of 85962132 is about 441.3357000894.

The spelling of 85962132 in words is "eighty-five million, nine hundred sixty-two thousand, one hundred thirty-two".