78146541 has 24 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 47226240.

The previous prime is 78146531. The next prime is 78146557. The reversal of 78146541 is 14564187.

It is a happy number.

78146541 is a `hidden beast` number, since 78 + 1 + 46 + 541 = 666.

It is not a de Polignac number, because 78146541 - 2⁷ = 78146413 is a prime.

It is a super-2 number, since 2×78146541² = 12213763740529362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78146496 and 78146505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78146521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41956 + ... + 43778.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^78146541 is an apocalyptic number.

It is an amenable number.

78146541 is a deficient number, since it is larger than the sum of its proper divisors (45345555).

78146541 is a wasteful number, since it uses less digits than its factorization.

78146541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2270 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 78146541 is about 8840.0532238217. The cubic root of 78146541 is about 427.5332732900.

It can be divided in two parts, 78146 and 541, that added together give a palindrome (78687).

The spelling of 78146541 in words is "seventy-eight million, one hundred forty-six thousand, five hundred forty-one".